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https://hdl.handle.net/11147/5386
Title: | Resonant Dispersive Benney and Broer-Kaup Systems in 2+1 Dimensions | Authors: | Lee, Jyh Hao Pashaev, Oktay |
Keywords: | Broer Kaup equation Hydrodynamic equations Infinite system Integrable systems Solitons |
Publisher: | IOP Publishing Ltd. | Source: | Lee, J. H., and Pashaev, O. (2014). Resonant dispersive Benney and Broer-Kaup systems in 2+1 dimensions. Journal of Physics: Conference Series, 482(1). doi:10.1088/1742-6596/482/1/012026 | Abstract: | We represent the Benney system of dispersionless hydrodynamic equations as NLS type infinite system of equations with quantum potential. We show that negative dispersive deformation of this system is an integrable system including vector generalization of Resonant NLS and 2+1 dimensional nonlocal Resonant NLS. We obtain bilinear form and soliton solutions in these systems and find the resonant character of soliton interaction. Equivalent vector Broer-Kaup system and non-local 2+1 dimensional nonlocal Broer-Kaup equation are constructed. | Description: | Physics and Mathematics of Nonlinear Phenomena 2013, PMNP 2013; Gallipoli; Italy; 22 June 2013 through 29 June 2013 | URI: | http://doi.org/10.1088/1742-6596/482/1/012026 http://hdl.handle.net/11147/5386 |
ISSN: | 1742-6588 1742-6596 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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